Integrated into the
Mathematica system are powerful functions for analyzing large volumes of discrete and integer data—often conveniently specified using
Mathematica's uniquely flexible pattern language.
Union — unique elements in a single list or between lists
Tally — tally distinct elements, listing them with their multiplicities
BinCounts,
BinLists — count, list elements in a sequence of bins
Cases — list elements matching a pattern
Count — count elements matching a pattern
list/.rule — replace elements according to a rule
FromDigits — convert to numbers, polynomials, etc.
FindSequenceFunction — find functional forms for integer sequences